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3 years ago

In the figure below, AC and BD are diameters of circle P.

Mathematics

2 answers:

Jet001 [13]3 years ago

8 0

I hope this helps you

creativ13 [48]3 years ago

7 0

Answer:

mBC = 155°

Step-by-step explanation:

~ It would be that measure of arc BC is, in other words, m∠ BPC, respectively arc AD being ⇒ m∠ APD ~

By Vertical Angles Theorem ⇒

m∠ BPC = m∠ APD ⇒ provided AC and BD are diameters,

m∠ BPC = 155° ⇒ knowing mBC is, in other terms m∠ BPC,

mBC = 155°

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As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = $\frac{2}{100}$

θ = $\text{tan}^{-1}(\frac{2}{100})$

Option (A) will be the answer.

5 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F

OlgaM077 [116]

Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

By standard normal table z=2.5758≈2.58

Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

$n=\frac{(2.58)^2(0.133)(0.867)}{(0.02)^2}=1918.89$

Hence, the Sample size is 1918.89035

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3 years ago

What is the probability of selecting a seventh-grader from a school that has 250 sixth-graders, 225 seventh-graders, and 275 eig

Nina [5.8K]

Answer:

3/10 or 0.3 or 30%

Step-by-step explanation:

Its 225/750 total students

We simplify this by dividing by 5

45/150

Divide by 5 again

9/30

Divide by 3

3/10

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3 years ago

Which equation is an equation of a circle with a radius of 3 and it’s center is at (5,-2)?

storchak [24]

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3 years ago

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saveliy_v [14]

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3 years ago